A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory

Abstract

Tree-level moduli stabilization via geometric and non-geometric fluxes in type IIB orientifolds on Calabi-Yau manifolds is investigated. The focus is on stable non-supersymmetric minima, where all moduli are fixed except for some massless axions. The scenario includes the purely axionic orientifold-odd moduli. A set of vacua allowing for parametric control over the moduli vacuum expectation values and their masses is presented, featuring a specific scaling with the fluxes. Uplift mechanisms and supersymmetry breaking soft masses on MSSM-like D7-branes are discussed as well. This scenario provides a complete effective framework for realizing the idea of F-term axion monodromy inflation in string theory. It is argued that, with all masses close to the Planck and GUT scales, one is confronted with working at the threshold of controlling all mass hierarchies.

Figures (3)

• Figure 1: The scalar potential $V$ in units of ${M_\text{Pl}^4 \over 4 \pi \cdot 2^4}$ for $h=q=1$, $\tilde{\mathfrak f}=10$, showing the expected stable minimum at $s_0=10$ and $\tau_0=12$.
• Figure 2: The exact potential $V(\tau,s_0,c_0,\rho_0)$ for $h=2,q=1$ and $\hat{\mathfrak f}=100$ and the uplift term $V_{\rm up}=0.0013/(16\, \tau^{1\over 4})$. Here the numerical minimum lies at $\tau_0=135.13$, $s_0=40.60$ and $2c_0+\rho_0=0$. The uplifted minimum is de Sitter.
• Figure 3: The potential $V(x,y)$ around the minimum, where $x$ is pointing in the direction of the lightest axionic modulus and $y$ in the direction of the lightest saxionic modulus.